45780 ÷ 9 = 5086 R6
Alright, let's work through the division of 45780 by 9 step by step.

Step 1:
9 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of of the result. 
Result so far: 0
Subtract 0 from 4 to get 4.
Bring next digit (5) of the dividend behind the 4 and repeat the process: 45 / 9

Step 2:
9 goes into 45 5 times with a remainder of 0.
Write down 5 as next digit of of the result. 
Result so far: 5
Subtract 45 from 45 to get 0.
Bring next digit (7) of the dividend behind the 0 and repeat the process: 7 / 9

Step 3:
9 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of of the result. 
Result so far: 50
Subtract 0 from 7 to get 7.
Bring next digit (8) of the dividend behind the 7 and repeat the process: 78 / 9

Step 4:
9 goes into 78 8 times with a remainder of 6.
Write down 8 as next digit of of the result. 
Result so far: 508
Subtract 72 from 78 to get 6.
Bring next digit (0) of the dividend behind the 6 and repeat the process: 60 / 9

Step 5:
9 goes into 60 6 times with a remainder of 6.
Write down 6 as next digit of of the result. 
Result so far: 5086
Subtract 54 from 60 to get 6.

The final result is 5086 with a remainder of 6.